Finite Group Databasebeta

← Group #10691126

Character table — Group #10691126

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212121212121616161616161616161624242424242424244848
order122222344444466644466121212121212121244448888121224242424242424244444444424661212121212124444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ91111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1ii−i−iii−i−i11iiii−i−i−i−i11-1-1ii−i−i1-111-1-1ii−i−i1-1i−iii−i−i1-1
χ101111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1ii−i−iii−i−i11iiii−i−i−i−i-1-111−i−iii1-111-1-1ii−i−i-11−ii−i−iii-11
χ111111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1ii−i−i−i−iii11−i−i−i−iiiii11-1-1ii−i−i-11-1-111ii−i−i1-1i−i−i−iii-11
χ121111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1ii−i−i−i−iii11−i−i−i−iiiii-1-111−i−iii-11-1-111ii−i−i-11−iiii−i−i1-1
χ131111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1−i−iiiii−i−i11iiii−i−i−i−i11-1-1−i−iii-11-1-111−i−iii1-1−iiii−i−i-11
χ141111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1−i−iiiii−i−i11iiii−i−i−i−i-1-111ii−i−i-11-1-111−i−iii-11i−i−i−iii1-1
χ151111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1−i−iii−i−iii11−i−i−i−iiiii11-1-1−i−iii1-111-1-1−i−iii1-1−ii−i−iii1-1
χ161111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1−i−iii−i−iii11−i−i−i−iiiii-1-111ii−i−i1-111-1-1−i−iii-11i−iii−i−i-11
χ172222222222-2-22222-2-2-222-2-22222-2-200000000-2-200000000222200000000000000-2-200000000
χ182222222222-2-22222-2-2-222-2-22222-2-200000000-2-200000000-2-2-2-2000000000000002200000000
χ192222222-2-2-222-22222-2-22222-2-2-2-2-2-2000000002-20000000000002222000000000000-2-2000000
χ202222222-2-2-222-22222-2-22222-2-2-2-2-2-2000000002-2000000000000-2-2-2-200000000000022000000
χ212222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2222-22-20000-2200000000000000000000002-22-20000000000
χ222222222-2-2-2-2-2-2222-22222-2-2-2-2-2-222-22-220000-220000000000000000000000-22-220000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-11111111100000000-2-21111-1-1-1-10000000000
χ25222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-100000000-2-2111111110000000000
χ26222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000000022-1-1-1-111110000000000
χ27222222-1-2-2-2-2-2-2-1-1-1-222-1-1111111-1-12-22-200001-1−i3−i3i3i3−i3−i3i3i30000000000−i3i3−i3i3-11-110000000000
χ28222222-1-2-2-2-2-2-2-1-1-1-222-1-1111111-1-12-22-200001-1i3i3−i3−i3i3i3−i3−i30000000000i3−i3i3−i3-11-110000000000
χ29222222-1-2-2-2-2-2-2-1-1-1-222-1-1111111-1-1-22-2200001-1−i3−i3i3i3−i3−i3i3i30000000000i3−i3i3−i31-11-10000000000
χ30222222-1-2-2-2-2-2-2-1-1-1-222-1-1111111-1-1-22-2200001-1i3i3−i3−i3i3i3−i3−i30000000000−i3i3−i3i31-11-10000000000
χ312222-2-222-2-2222222-2-22-2-22222-2-22200000000-2-20000000022-2-200000000000000-2200000000
χ322222-2-222-2-2222222-2-22-2-22222-2-22200000000-2-200000000-2-222000000000000002-200000000
χ332222-2-22-22222-2222-22-2-2-222-2-222-2-22i−2i−2i2i0000-2200000000000000000000002i−2i−2i2i0000000000
χ342222-2-22-22222-2222-22-2-2-222-2-222-2-2−2i2i2i−2i0000-220000000000000000000000−2i2i2i−2i0000000000
χ352222-2-22-222-2-2-22222-22-2-2-2-2-2-22222000000002-20000000000002i2i−2i−2i000000000000−2i2i000000
χ362222-2-22-222-2-2-22222-22-2-2-2-2-2-22222000000002-2000000000000−2i−2i2i2i0000000000002i−2i000000
χ372222-2-2-12-2-2-2-22-1-1-122-21111-1-111112i2i−2i−2i2i2i−2i−2i-1-1−i−i−i−iiiii000000002-2-1-111−i−iii0000000000
χ382222-2-2-12-2-2-2-22-1-1-122-21111-1-111112i2i−2i−2i−2i−2i2i2i-1-1iiii−i−i−i−i00000000-2211-1-1−i−iii0000000000
χ392222-2-2-12-2-2-2-22-1-1-122-21111-1-11111−2i−2i2i2i2i2i−2i−2i-1-1−i−i−i−iiiii00000000-2211-1-1ii−i−i0000000000
χ402222-2-2-12-2-2-2-22-1-1-122-21111-1-11111−2i−2i2i2i−2i−2i2i2i-1-1iiii−i−i−i−i000000002-2-1-111ii−i−i0000000000
χ412222-2-2-1-22222-2-1-1-1-22-211-1-111-1-1112i−2i−2i2i00001-133−3−3−3−3330000000000−i3i3i3−i3−iii−i0000000000
χ422222-2-2-1-22222-2-1-1-1-22-211-1-111-1-1112i−2i−2i2i00001-1−3−33333−3−30000000000i3−i3−i3i3−iii−i0000000000
χ432222-2-2-1-22222-2-1-1-1-22-211-1-111-1-111−2i2i2i−2i00001-133−3−3−3−3330000000000i3−i3−i3i3i−i−ii0000000000
χ442222-2-2-1-22222-2-1-1-1-22-211-1-111-1-111−2i2i2i−2i00001-1−3−33333−3−30000000000−i3i3i3−i3i−i−ii0000000000
χ452-2-222-22-22-2002-2-220002-2002-22-2000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i22-22-2000000000000000000−i2i2−i2i200
χ462-2-222-22-22-2002-2-220002-2002-22-2000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2-22-22000000000000000000i2−i2i2−i200
χ472-2-222-22-22-2002-2-220002-2002-22-2000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i22-22-2000000000000000000i2−i2i2−i200
χ482-2-222-22-22-2002-2-220002-2002-22-2000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2-22-22000000000000000000−i2i2−i2i200
χ492-2-22-222-2-22002-2-22000-22002-2-220000002−2−22002−22−2−22−222-2-220000000000000000002−2−2200
χ502-2-22-222-2-22002-2-22000-22002-2-220000002−2−22002−22−2−22−22-222-2000000000000000000−222−200
χ512-2-22-222-2-22002-2-22000-22002-2-22000000−222−200−22−222−22−22-2-22000000000000000000−222−200
χ522-2-22-222-2-22002-2-22000-22002-2-22000000−222−200−22−222−22−2-222-20000000000000000002−2−2200
χ53444444-2444-4-44-2-2-2-4-4-4-2-222-2-2-2-2220000000022000000000000000000000000000000000000
χ54444444-2-4-4-444-4-2-2-24-4-4-2-2-2-222222200000000-22000000000000000000000000000000000000
χ554444-4-4-24-4-4444-2-2-2-4-4422-2-2-2-222-2-20000000022000000000000000000000000000000000000
χ564444-4-4-2-444-4-4-4-2-2-24-44222222-2-2-2-200000000-22000000000000000000000000000000000000
χ574-44-40040004i−4i04-4-4000004i−4i00000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000000000
χ584-44-40040004i−4i04-4-4000004i−4i0000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ594-44-4004000−4i4i04-4-400000−4i4i00000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000000000
χ604-44-4004000−4i4i04-4-400000−4i4i0000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ614-4-444-444-4400-4-4-440004-400-44-44000000000000000000000000000000000000000000000000
χ624-4-444-4-24-4400-422-2000-22002-22-20000000000006−6−666−6−660000000000000000000000000000
χ634-4-444-4-24-4400-422-2000-22002-22-2000000000000−666−6−666−60000000000000000000000000000
χ644-4-444-4-2-44-400422-2000-2200-22-22000000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ654-4-444-4-2-44-400422-2000-2200-22-220000002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ664-4-44-44444-400-4-4-44000-4400-444-4000000000000000000000000000000000000000000000000
χ674-4-44-44-244-400-422-20002-2002-2-22000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ684-4-44-44-244-400-422-20002-2002-2-22000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ694-4-44-44-2-4-4400422-20002-200-222-200000022−22−222200−22−222−22−20000000000000000000000000000
χ704-4-44-44-2-4-4400422-20002-200-222-2000000−222222−22002−22−2−22−220000000000000000000000000000
χ7188-8-8008000000-88-800000000000000000000000000000000000000000000000000000000000
χ7288-8-800-40000004-440000000000043−430000000000000000000000000000000000000000000000
χ7388-8-800-40000004-4400000000000−43430000000000000000000000000000000000000000000000
χ748-88-800-40008i−8i0-44400000−4i4i0000000000000000000000000000000000000000000000000000
χ758-88-800-4000−8i8i0-444000004i−4i0000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).